I don't have an AR for my GBA and I didn't go to the event so I guess I'm stuck just going through the game bilions of times :/ is there something I can do in the mean time? for research

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Damage calcs. See if the IVs of non-shadow Pokemon you're battling really have all 0 IVs, as they seem to be, from my results, as well as if they're always the same nature for a trainer's non-shadow Pokemon, again, as they seem to be.

I recently made a Mt. Battle run in Battle Mode, and it seems that the opponents have 0 IVs and EVs as well as random natures. So if you want to EV for speed to outspeed certain foes, you'll need less training for Mt. Battle than in a real competitive environment.

Hi, after restarting game and trying for a while got an sassy umbreon with 0 speed (after checking with metalkids iv) , i like trick room teams so will use it after to breed etc for d/p/platinum. So let me know if this will be useful to test speeds with as i continue playing through the game. I will follow an ev guide i found on serebii to ensure umbreon gets no evs for speed ( ie had to kill umbreon in first battle as two zigazoons give out speed evs). Umbreon has 63 speed at level 50 and 121 speed at level 100

From what is known about col/XD pokemon is that they are based on numbers generated on the file (it DOES NOT restart apon making a new game, you will have to erase the file from the gamecube menu in order to get a new number set), plus a strange RNG. It also xors one pair of your numbers by a number too high to produce a shiny pokemon, meaning that for some people, they will never get a shiny that is produced by that number!

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Also, sorry I haven't been able to capture more Lugia, but as I suspected, I've been quite busy!

It also seems, though I'm not 100% positive, that through over 400 tests, the Mew tutor did not select two or more XD-exclusive Mew tutor moves to generate for a moveset. This does not apply to tutored moves learned in XD (Self-Destruct, Sky Attack, etc.), where one or more could be found on the movesets; rather, it is for things such as Hypnosis and Zap Cannon.

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I'm not 100% sure on this, but I think the move tutor selects from a list of sets, not individual moves. For example, when I was trying to teach my event Mew Hypnosis, he offered to teach it Mega Punch/Ice Punch/ThunderPunch/Fire Punch.
I think I came across Hypnosis twice, once with Dream Eater, and once with Nightmare (I'm not sure on the Dream Eater one, but I can confirm that I decided on Hypnosis/Nightmare/Swagger/Protect). Nightmare was directly after Hypnosis, too.
I really doubt that those sets are a coincidence (come on, the 'classic' four punches on one set?).

I'm not 100% sure on this, but I think the move tutor selects from a list of sets, not individual moves. For example, when I was trying to teach my event Mew Hypnosis, he offered to teach it Mega Punch/Ice Punch/ThunderPunch/Fire Punch.
I think I came across Hypnosis twice, once with Dream Eater, and once with Nightmare (I'm not sure on the Dream Eater one, but I can confirm that I decided on Hypnosis/Nightmare/Swagger/Protect). Nightmare was directly after Hypnosis, too.
I really doubt that those sets are a coincidence (come on, the 'classic' four punches on one set?).

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I'll post the 27 movesets I got. I did notice a somewhat-correlation between answers and movesets.

The moves do appear grouped in some way... Perhaps there are themed groups of two or three moves, and the remaining ones are random? From your list, I can see:
Role Play/Mimic - copying other Pokémon's ability/move
Metronome/Hidden Power - random effect (?)
Faint Attack/Swift (or Shock Wave?) - never miss
Double-Edge/Explosion/SelfDestruct - 'suicide' moves
Rain Dance/Waterfall - water moves?

There are also a lot of combo moves:
Rain Dance/Thunder
Defense Curl/Rollout
Taunt/Counter

Perhaps the questions determine one of a number of possible combinations, and the 'random' moves at the end?

Whatever the mechanism is, it's certainly not random... If I get some free time, I could help with getting a list of movesets.

The moves do appear grouped in some way... Perhaps there are themed groups of two or three moves, and the remaining ones are random? From your list, I can see:
Role Play/Mimic - copying other Pokémon's ability/move
Metronome/Hidden Power - random effect (?)
Faint Attack/Swift (or Shock Wave?) - never miss
Double-Edge/Explosion/SelfDestruct - 'suicide' moves
Rain Dance/Waterfall - water moves?

There are also a lot of combo moves:
Rain Dance/Thunder
Defense Curl/Rollout
Taunt/Counter

Perhaps the questions determine one of a number of possible combinations, and the 'random' moves at the end?

Whatever the mechanism is, it's certainly not random... If I get some free time, I could help with getting a list of movesets.

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I had seen the groupings as well. However, without other people with third-gen Mews willing to help, my previous thread on this topic hadn't advanced as far as I'd hoped.

Well, that's quite useful. Do you think we could learn how this equation is modified, or would we have to delve into the game's coding to have any chance of this?

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I'm thinking we'd have to get someone who can look at the game's code to do something like this. I'm almost certain that's what X-Act did for his PID/IV creation article; something like that is just too complex to be found externally.

That's crazy. It's strange that selecting a New Game would still keep the game's "SID" intact. I'm really curious as to how much of an impact those 3 numbers affect IV generation and if/how that can be manipulated.

It seems like a whole lot more complicated than the RNG in any of the other Pokemon games. Here's hoping somebody can crack the coding of these games lol. If only I knew how...